Search a number
-
+
312202313321142 = 231291178812254067
BaseRepresentation
bin100011011111100100100001…
…1111110111100101010110110
31111221102020202000020021011210
41012333021003332330222312
5311410110314202234032
63023555432430542250
7122521605236402106
oct10677110376745266
91457366660207153
10312202313321142
1190528291854982
122b022a97067986
131052872347113a
14571495b831206
152616172d572cc
hex11bf243fbcab6

312202313321142 has 32 divisors (see below), whose sum is σ = 624923510603904. Its totient is φ = 103980966206400.

The previous prime is 312202313321057. The next prime is 312202313321149. The reversal of 312202313321142 is 241123313202213.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312202313321149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 137379193 + ... + 139633259.

It is an arithmetic number, because the mean of its divisors is an integer number (19528859706372).

Almost surely, 2312202313321142 is an apocalyptic number.

312202313321142 is an abundant number, since it is smaller than the sum of its proper divisors (312721197282762).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

312202313321142 is a wasteful number, since it uses less digits than its factorization.

312202313321142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2273244.

The product of its (nonzero) digits is 10368, while the sum is 30.

Adding to 312202313321142 its reverse (241123313202213), we get a palindrome (553325626523355).

The spelling of 312202313321142 in words is "three hundred twelve trillion, two hundred two billion, three hundred thirteen million, three hundred twenty-one thousand, one hundred forty-two".

Divisors: 1 2 3 6 1291 2582 3873 7746 17881 35762 53643 107286 2254067 4508134 6762201 13524402 23084371 46168742 69253113 138506226 2910000497 5820000994 8730001491 17460002982 40304972027 80609944054 120914916081 241829832162 52033718886857 104067437773714 156101156660571 312202313321142